Chain Rule & Composite Functions
by Anonymous
Run the inner and outer machines separately to see how their two slopes multiply to make the overall slope.
#math#calculus#chainrule#highschool#compositefunction#derivative#mathpractice#highschool_math#education
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About this app
An interactive calculus learning app that explains the chain rule through linked inner and outer function “machines.” Explore how the derivative of a composite function y = f(g(x)) is found by multiplying the outer slope f′(g(x)) by the inner slope g′(x), then apply the idea to h(x) = sin(kx).
Use cases
- High school students learning composite-function differentiation
- Teachers demonstrating the chain rule visually
- Learners practicing derivative concepts through guided missions
- Math classrooms introducing derivatives of trigonometric functions
Features
- Interactive inner and outer function selectors
- Visual explanation of how two slopes multiply
- Point-by-point tangent slope exploration for composite functions
- Guided missions with reset and next-step controls
- Application section for h(x) = sin(kx) and h′(x) = k·cos(kx)